If i z 3 + z 2 - z + i = 0 (where z is a complex number), then the value of z is

Question

If i z 3 + z 2 - z + i = 0 (where z is a complex number), then the value of z is, 0, 1 2, 1, 2

MARKS App · Accepted Answer

i z 3 + z 2 - z + i = 0 ⇒ i z 2 z - i - z - i = 0 ⇒ z - i i z 2 - 1 = 0 Either z = i ⇒ z = 1 or ⇒ i z 2 = 1 . . . . ( 1 ) ⇒ - i z ¯ 2 = 1 . . . . ( 2 ) Multiplying equation ( 1 ) & ( 2 ) z z ¯ 2 = 1 ⇒ z = 1

Search any question & find its solution

Looking for more such questions to practice?